关于二阶线性递归序列乘积的和式(英文)  

Summation Formulas Involving Second-order Recurrent Sequences

作　　者：胡宏[1] 

机构地区：[1]淮阴师范学院数学系,江苏淮安223300

出　　处：《南京师大学报（自然科学版）》2006年第3期25-28,共4页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：SupportedbytheNaturalScienceFoundationofEducationalDepartmentofJiangsuProvince(04KJD110032)

摘　　要：设{wn}是二阶线性递归序列,n为整数.根据二阶线性递归序列的定义和性质,给出了关于二阶线性递归序列乘积的和式Sm,k,Tm,k的定义,研究了关于二阶线性递归序列的和式Sm,k,Tm,k,得到了关于和式Sm,k,Tm,k的重要结论.本文的主要结论推广了M elham R S的二个结果.Let { wn } be a second-order recurrence sequence and let n be integers. According to the definition and characteristics of the second-order recurrent sequences, the involving second-order recurrent sequences sums Sm.k and Tm.k are defined. The sums Sm,k and Tm,k are studied. The recursion formulas of Sm,k and Tm,k are determined. The conclusion extends two result from Melham R S.

关 键 词：二阶线性递归序列 LUCAS序列 伴随序列 

分 类 号：O156.1[理学—数学]